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Finding the Fourth Proportional to 150,591, 207,815.58 and 83,523

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Solution

The fourth proportional to 150,591, 207,815.58 and 83,523 is: 115,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591 : 207,815.58 = 83,523 : x
  2. Step 2: Convert to fraction form
    150,591/207,815.58 = 83,523/x
  3. Step 3: Cross multiply
    150,591x = 207,815.58 × 83,523
  4. Step 4: Simplify right side
    150,591x = 17,357,380,688.34
  5. Step 5: Solve for x
    x = 17,357,380,688.34/150,591
  6. Step 6: Final answer
    x = 115,261.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.